Question

10-2 (2x+1) = 4 (x-2)

Answer 1

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

Answer 2

Answer:

X = 2

Step-by-step explanation:

$\sf \: First, solve \: the \: brackets.$

$\sf \: 10 - 2(2x + 1) = 4(x - 2) \\ \sf10 - 4x - 2 = 4x - 8 \: \: \: \: \: \: \:$

$\sf \: Combine \: like \: terms .$

$\sf8 - 4x = 4x - 8$

$\sf \: Subtract \: 4x \: from \: both \: sides \: to \: remove \: 4x.$

$\sf \: 8 - 4x - 4x = 4x - 8 - 4x \\ \sf8 - 8x = - 8$

$\sf \: Subtract \: 8 \: from \: both \: sides \: to \: remove \: 8.$

$\sf8 - 8 - 8x = - 8 - 8 \\ \sf - 8x = - 16$

$\sf \: Divide \: both \: sides \: by \: -8.$

$\sf \: x = 2$